In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, _Godel’s Proof_ by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy (...) the chance to satisfy their intellectual curiosity. (shrink)

A tacit assumption since the 19th Century has been that the neocortex serves as the "seat of consciousness." An unexpected challenge to that assumption arose in 1949 with the discovery that high-frequency EEG activation associated with an alert state requires the intactness of the brainstem reticular formation. This discovery became the impetus for nearly three decades of research on what came to be known as the reticular activating system. By the 1970s, however, methodological and philosophical controversies led to general abandonment (...) of subcortical theories of attention and consciousness, with a return to an almost exclusive focus upon the cortex. With recent advances in the neurosciences the focus is shifting once more, this time to the unique contributions of cortical, thalmic, and brainstem structures in mediating selective attention and perceptual awareness. This paper offers a nontechnical review of the history of these developments up to contemporary interest in the putative role of oscillatory EEG patterns in the integration of perceptual features of experience. It puts forward the thesis that a key to understanding attention and consciousness is an appreciation of contributions of the thalmus to these cognitive processes. (shrink)

_'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.'_ _– The Guardian_ In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The importance of Godel's Proof rests upon its radical implications and has echoed throughout many fields, from maths (...) to science to philosophy, computer design, artificial intelligence, even religion and psychology. While others such as Douglas Hofstadter and Roger Penrose have published bestsellers based on Godel’s theorem, this is the first book to present a readable explanation to both scholars and non-specialists alike. A gripping combination of science and accessibility, _Godel’s Proof_ by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity. _Kurt Godel_ Born in Brunn, he was a colleague of physicist Albert Einstein and professor at the Institute for Advanced Study in Princeton, N.J. (shrink)

_'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.'_ _– The Guardian_ In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The importance of Godel's Proof rests upon its radical implications and has echoed throughout many fields, from maths (...) to science to philosophy, computer design, artificial intelligence, even religion and psychology. While others such as Douglas Hofstadter and Roger Penrose have published bestsellers based on Godel’s theorem, this is the first book to present a readable explanation to both scholars and non-specialists alike. A gripping combination of science and accessibility, _Godel’s Proof_ by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity. _Kurt Godel_ Born in Brunn, he was a colleague of physicist Albert Einstein and professor at the Institute for Advanced Study in Princeton, N.J. (shrink)

_'Nagel and Newman accomplish the wondrous task of clarifying the argumentative outline of Kurt Godel's celebrated logic bomb.'_ _– The Guardian_ In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of physicist Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system. The importance of Godel's Proof rests upon its radical implications and has echoed throughout many fields, from maths (...) to science to philosophy, computer design, artificial intelligence, even religion and psychology. While others such as Douglas Hofstadter and Roger Penrose have published bestsellers based on Godel’s theorem, this is the first book to present a readable explanation to both scholars and non-specialists alike. A gripping combination of science and accessibility, _Godel’s Proof_ by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy the chance to satisfy their intellectual curiosity. _Kurt Godel_ Born in Brunn, he was a colleague of physicist Albert Einstein and professor at the Institute for Advanced Study in Princeton, N.J. (shrink)

Temporal binding via 40-Hz synchronization of neuronal discharges in sensory cortices has been hypothesized to be a necessary condition for the rapid selection of perceptually relevant information for further processing in working memory. Binocular rivalry experiments have shown that late stage visual processing associated with the recognition of a stimulus object is highly correlated with discharge rates in inferotemporal cortex. The hippocampus is the primary recipient of inferotemporal outputs and is known to be the substrate for the consolidation of working (...) memories to long-term, episodic memories. The prefrontal cortex, on the other hand, is widely thought to mediate working memory processes, per se. This article reviews accumulated evidence for the role of a subcortical matrix in linking frontal and hippocampal systems to select and ''stream'' conscious episodes across time (hundreds of milliseconds to several seconds). ''Streaming'' is hypothesized to be mediated by the selective gating of reentrant flows of information between these cortical systems and the subcortical matrix. The physiological mechanism proposed for this temporally extended form of binding is synchronous oscillations in the slower EEG spectrum (< 8 Hz). (shrink)

Gray hypothesizes that the contents of consciousness correspond to the outputs of a subicular (hippocampal/temporal lobe) comparator that compares the current state of the organism's perceptual world with a predicted state. I argue that Gray has identified a key contributing system to conscious awareness, but that his model is inadequate for explaining how conscious contents are generated in the brain. An alternative model is offered.

The philosophy of science as it is known today emerged out of a combination of three traditional concerns: the classification of the sciences, methodology and the philosophy of nature. Included in the series Works in the Philosophy of Science 1830-1914 are all three of these interrelated areas. The titles should be of interest to both the philosopher of science and to the historian of ideas. The former will be able to trace present-day concerns back to their origins; the latter should (...) find it a useful source for the study of Victorian conceptions of science. (shrink)

"Clifford was famous for his public lectures on physics and math and ethics because he explained complex things with easily understood, concrete examples. As you read through his clear, simple explanations of the true bases of number, algebra and geometry you will find yourself getting angry and saying "Why the hell wasn't I taught math this way?" and "Do math ed professors know so little mathematics that they have never heard of Clifford.?" Clifford was destined to be England's Einstein until (...) his untimely death at the age of 34, just 11 days before Einstein's birth. More than 30 years before the Special Theory of Relativity was proposed he had already concluded that the force of gravity was actually due to changes in the curvature of space. He gives explanatory examples in this book that middle school children can understand."--review on Amazon.com viewed July 6, 2020. (shrink)

In his review of our Gödel's Proof in the April 1960 issue of Philosophy of Science Professor Hilary Putnam severely criticizes the crucial chapter, in which we attempt to make intelligible to the non-specialist the general character of the argument for Gödel's main conclusions. Indeed, he asserts that “the chapter culminates in an extremely serious misstatement,” and that we “fail to give the proof that G [the Gödel sentence upon which the argument hinges] is not provable.” “The book,” he declares, (...) “has thus a serious shortcoming ”. These assertions impugn the competence of our exposition of Gödel's achievements, and we therefore ask for the privilege of replying to Dr. Putnam's allegations. (shrink)

Baars' contrastive analysis approach offers an essential framework for differentiating conscious processing from the myriad unconscious functions carried out by the mind/brain. In applying this approach it is important to understand that consciousness is not something other than, but something in addition to the unconscious processes that precede and follow the momentary focus of awareness. We have argued elsewhere that neurologically this something is activation via a global attentional matrix which both: 1) controls access to consciousness by competing unconscious processors; (...) and 2) integrates the multimodal representations of those processors which gain momentary access into unified, conscious percepts. (shrink)

This study explores professional footballers’ perceptions of where banter crosses the conceptual line into bullying. The study’s focus is of importance, given the impact that abusive behaviors have been found to have on the welfare and safeguarding of English professional footballers. A phenomenological approach was adopted, which focused on the essence of the participants’ perceptions and experiences. Guided by Interpretative Phenomenological Analysis, individual semi-structured interviews were conducted with 18 male professional footballers from three Premier League and Championship football clubs. The (...) findings from this study revealed several key superordinate themes in relation to the dividing line between bullying and banter. These themes included “perception,” “intentionality,” “detecting the line,” and “having a bit of banter.” The findings demonstrate how perceptions of bullying and banter are nuanced by individual differences among the players and the culture of the professional football context. Specifically, it was found that the professional football context can legitimize forms of humor blurring the lines between bullying and banter, challenging the typically positive view of the concept of banter in this environment. From an applied perspective, these findings highlight the need for coaches, players, and football clubs more broadly to address cultural expectations around banter in their environment, while educating individuals around their own perceptions of bullying and banter. (shrink)

Playing videogames ranks among the most popular activities on the contemporary media menu. However, just what ‘play’ entails remains poorly researched and consequently little is written on the role and subject positions of the player in relation to on-screen characters. This article offers a way of thinking about the player's subject position that moves attention away from identification with on-screen characters and towards the engagement with the videogame as a simulation. In doing so, and drawing on Fuller and Jenkins (Nintendo (...) and new world travel writing: A dialogue, Sage, 1995) and Friedman (Civilization and its discontents: Simulation, subjectivity, and space, New York University Press, 1999) for example, the author suggests that the videogame player engages not with any single element of the system such as a character or ‘avatar,’ but rather apprehends the videogame as a system — a mathematical model. This mode of engagement encourages and requires that the player ‘think like the computer’ in exploring its boundaries, scrutinizing its rules, exploiting its potentialities, and ultimately becoming part of the system itself. [ABSTRACT FROM AUTHOR]. (shrink)

COMMENTARY ON: LaBerge, D.. Attention, awareness, and the triangular circuit. Consciousness and Cognition, 6, 149-181. ABSTRACT: LaBerge proposes that underlying attention and self-awareness is a triangular circuit involving interconnected posterior cortical, thalamic and prefrontal neural ensembles. While the target paper makes only passing reference to it, the reticular nucleus of the thalamus is an integral part of the triangular circuit he posits. Indeed, it is essential to a complete understanding of his model.